Remarks on Naimark’s duality

Czaja, Wojciech

doi:10.1090/S0002-9939-07-09048-X

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ISSN 1088-6826(online) ISSN 0002-9939(print)

Remarks on Naimark's duality

Author: Wojciech Czaja
Journal: Proc. Amer. Math. Soc. 136 (2008), 867-871
MSC (2000): Primary 42C15
Posted: November 30, 2007
MathSciNet review: 2361858
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Abstract: We present an extension of a version of Naimark's dilation theorem which states that complete systems in a Hilbert space are projections of $\omega$ -linearly independent systems of elements of an ambient Hilbert space. This result is presented in the context of other known extensions of Naimark's theorem.

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